Non-Standard and Improperly Posed Problems

Nonfiction, Science & Nature, Mathematics, Applied, Technology
Cover of the book Non-Standard and Improperly Posed Problems by Brian Straughan, William F. Ames, William F. Ames, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Brian Straughan, William F. Ames, William F. Ames ISBN: 9780080537740
Publisher: Elsevier Science Publication: July 7, 1997
Imprint: Academic Press Language: English
Author: Brian Straughan, William F. Ames, William F. Ames
ISBN: 9780080537740
Publisher: Elsevier Science
Publication: July 7, 1997
Imprint: Academic Press
Language: English

Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary.

The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration.

  • Provides the first unified survey of the advances made in the last 15 years in the field
  • Includes an up-to-date compendium of the mathematical literature on these topics
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary.

The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration.

More books from Elsevier Science

Cover of the book Linux for Embedded and Real-time Applications by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Economic Capital by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Polaritons in Periodic and Quasiperiodic Structures by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Principles of Textile Finishing by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Anthropometry, Apparel Sizing and Design by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Lake Bonneville: A Scientific Update by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Advances in Hemodynamics and Hemorheology, Volume 1 by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Handbook of Specialty Fluorinated Polymers by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Annual Reports in Medicinal Chemistry by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Bioinformatics by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Advances in Marine Biology by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Proteome Characterization and Proteomics by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Heterogeneous Computing with OpenCL 2.0 by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Big on Bk: Current Insights into the Function of Large Conductance Voltage- and Ca2+- Activated K+ Channels at the Molecular, Cellular and Systemic Levels by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Disorders of the Cervical Spine by Brian Straughan, William F. Ames, William F. Ames
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy